What is the Least Common Multiple of 33708 and 33726?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 33708 and 33726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33708 and 33726, than apply into the LCM equation.

GCF(33708,33726) = 6
LCM(33708,33726) = ( 33708 × 33726) / 6
LCM(33708,33726) = 1136836008 / 6
LCM(33708,33726) = 189472668

Least Common Multiple (LCM) of 33708 and 33726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33708 and 33726. First we will calculate the prime factors of 33708 and 33726.

Prime Factorization of 33708

Prime Factorization of 33726

Now multiplying the highest exponent prime factors to calculate the LCM of 33708 and 33726.

LCM(33708,33726) = 2² × 3¹ × 53² × 7¹ × 11¹ × 73¹
LCM(33708,33726) = 189472668